Walker, R. H.2022-06-222022-06-22196613695732https://hdl.handle.net/10657/9784A first order perturbation method is used for treating localized defects in metals in a self-consistent way. The calculations are performed under the Hartree approximation using both the ordinary Coulomb interactions between electrons appropriate for the one electron approximation and the effective short-range potential resulting from the Bohm-Pines plasma theory of metals. The results of the above approximations are tested for self-consistency by the application of the Friedel sum rule. The results are then compared with the statistical approximation of the Thomas-Fermi method. It is found that they are very similar.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Perturbation in an electron gasThesisreformatted digital